Solution of Integral Equations by Dunkl and Distributional Dunkl Transform

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Authors

  • Deshna Loonker
     Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005 ,IN

DOI:

https://doi.org/10.18311/jims/2018/16611

Keywords:

Dunkl Transform, Fourier Transform, Distribution Spaces, Volterra Integral Equation, Fredlom Integral Equation of Convolution Type, Convolution
Algebraic Geometry

Abstract

The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl transform. Further, solution obtained is considered in distributional sense by employing integral equations to distribution spaces and as well as using the distributional Dunkl transform for its solution.

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Published

2018-01-04

How to Cite

Loonker, D. (2018). Solution of Integral Equations by Dunkl and Distributional Dunkl Transform. The Journal of the Indian Mathematical Society, 85(1-2), 132–138. https://doi.org/10.18311/jims/2018/16611

Issue

Volume 85, Issue 1-2, January-June 2018

Section

Articles

License

Copyright (c) 2018 Deshna Loonker

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-07-31
Accepted 2017-07-31
Published 2018-01-04

 

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